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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 276, Pages 219–236 (Mi znsl1418)  
This article is cited in 7 scientific papers (total in 7 papers)

Monotonicity of generalized reduced module

L. V. Kovalev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (242 kB) Citations (7)
Abstract: In terms of polar sets, we complement some Dubinin's inequalities expressing the monotonicity of the generalized reduced module for open subsets of $\mathbb C_n$ and $\mathbb R_n$ by equality cases. These results are applied to extremal problems of geometric function theory.
Received: 29.06.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 1, Pages 4861–4870
DOI: https://doi.org/10.1023/A:1025576701301
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: L. V. Kovalev, “Monotonicity of generalized reduced module”, Analytical theory of numbers and theory of functions. Part 17, Zap. Nauchn. Sem. POMI, 276, POMI, St. Petersburg, 2001, 219–236; J. Math. Sci. (N. Y.), 118:1 (2003), 4861–4870
Citation in format AMSBIB
\Bibitem{Kov01}
\by L.~V.~Kovalev
\paper Monotonicity of generalized reduced module
\inbook Analytical theory of numbers and theory of functions. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 276
\pages 219--236
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1418}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850369}
\zmath{https://zbmath.org/?q=an:1066.31006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 1
\pages 4861--4870
\crossref{https://doi.org/10.1023/A:1025576701301}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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